What is (\partial)/(\partial x)(2xz^3e^{y^2}) ?

The answer to (\partial)/(\partial x)(2xz^3e^{y^2}) is 2e^{y^2}z^3

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(\partial)/(\partial x)(2xz^3e^{y^2})

\frac{\partial}{\partial x} (2 x z^{3} e^{y^{2}})

2 e^{y^{2}} z^{3}

Solution steps

\frac{\partial}{\partial x} (2 x z^{3} e^{y^{2}})

Treat

z, y

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 z^{3} e^{y^{2}} \frac{\partial}{\partial x} (x)

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= 2 z^{3} e^{y^{2}} \cdot 1

Simplify

= 2 e^{y^{2}} z^{3}

\int \frac{1}{1 + z ^{2}} d z

f (x) = 4 (4 e^{x} - 25)^{7}

y = 15 - x^{2}, (1, 14)

\int x^{5} (2 - 5 x^{3})^{\frac{2}{3}} d x

y^{^{''}} + 1 = 0

What is (\partial)/(\partial x)(2xz^3e^{y^2}) ?
The answer to (\partial)/(\partial x)(2xz^3e^{y^2}) is 2e^{y^2}z^3